Question

Area of rhombus is 96 sq.cm.
one of the diagonals is 12 cm
find the length of its side.
( explain in details​

Answer 1

Answer:

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Answer 2

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Length of each side = 10 cm

Step-by-step explanation:

As per the question,

Give data are:

Area of a rhombus = 96 cm²

Length of one diagonal = 12 cm

As we know that area of a rhombus is given by,

Where,

p and q are diagonals of a rhombus.

Therefore,

let's say, Length of one diagonal = 12 cm = p

∴ q = 16 cm

Now,

As the diagonal bisect the rhombus into four right angle triangle.

∴ one side = 16/2 = 8 cm

other side = 12/2 = 6 cm

Now by using,

Pythagoras theorem,

Hypotenuse =  = 10 cm

Hence, length of each side of the given rhombus = 10 cm